Minimal semi-annihilating ℤ{sub N} scalar dark matter
We study the dark matter from an inert doublet and a complex scalar singlet stabilized by ℤ{sub N} symmetries. This field content is the minimal one that allows dimensionless semi-annihilation couplings for N>2. We consider explicitly the ℤ{sub 3} and ℤ{sub 4} cases and take into account constraints from perturbativity, unitarity, vacuum stability, necessity for the electroweak ℤ{sub N} preserving vacuum to be the global minimum, electroweak precision tests, upper limits from direct detection and properties of the Higgs boson. Co-annihilation and semi-annihilation of dark sector particles as well as dark matter conversion significantly modify the cosmic abundance and direct detection phenomenology.